Prime Factors of 222

Steps to find Prime Factors of 222 by Division Method

To find the primefactors of 222 using the division method, follow these steps:

• Step 1. Start dividing 222 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 222, which is 2. Divide 222 by 2 to obtain the quotient (111).
  222 ÷ 2 = 111
• Step 3. Repeat step 1 with the obtained quotient (111).
  111 ÷ 3 = 37
  37 ÷ 37 = 1

So, the prime factorization of 222 is, 222 = 2 x 3 x 37.

Steps to find Prime Factors of 222 by Factor Tree Method

We can follow the same procedure using the factor tree of 222 as shown below:

So, the prime factorization of 222 is, 222 = 2 x 3 x 37.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 222 are 2 x 3 x 37.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 222 but not a prime factor of 222.

Frequently Asked Questions

• Which is the smallest prime factor of 222?

  Smallest prime factor of 222 is 2.

• Is 222 a perfect square?

  No 222 is not a perfect square.

• What is the prime factorization of 222?

  Prime factorization of 222 is 2 x 3 x 37.

• What are the factors of 222?

  Factors of 222 are 1 , 2 , 3 , 6 , 37 , 74 , 111 , 222.

• What is the product of all prime factors of 222?

  Prime factors of 222 are 2 x 3 x 37. Therefore, their product is 222.

• What numbers are the prime factors of 222?

  Prime factors of 222 are 2 , 3 , 37.

• What is the sum of all odd prime factors of 222?

  Prime factors of 222 are 2 , 3 , 37, out of which 3 , 37 are odd numbers. So, the sum of odd prime factors of 222 is 3 + 37 = 40.

• Is there any even prime factor of 222?

  Yes there is a even prime factor of 222.

• What is the product of all odd prime factors of 222?

  Prime factors of 222 are 2 , 3 , 37, out of which 3 , 37 are odd numbers. So, the product of odd prime factors of 222 is 3 x 37 = 111.